Prime p₀= 2319876139558316147 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 86
Found by: Orange Kid
db: batch=81, k=10, 2 28 2 10 2

TPT(14)	2319874651659177761	0 2 30 32 108 110 126 128 150 152 156 158 168 170	-1487899138386
SPT(16)	2319875126468917097	0 6 54 72 80 122 170 174 212 216 264 306 314 332 380 386	-1013089399050
TPT(14)	2319875732187246839	0 2 12 14 72 74 90 92 102 104 240 242 258 260	-407371069308
SPT(16)	2319875849658568043	0 8 24 68 78 84 86 104 240 258 260 266 276 320 336 344	-289899748104
STPT(10)	2319875967175445681	0 2 30 32 60 62 90 92 120 122	-172382870466
SPT(16)	2319876124664593879	0 42 48 52 82 90 114 150 202 238 262 270 300 304 310 352	-14893722268
STPT(10)	2319876368980991627	0 2 42 44 72 74 102 104 144 146	229422675480
SPT(16)	2319876905487671899	0 28 94 118 144 162 172 180 202 210 220 238 264 288 354 382	765929355752
STPT(10)	2319876920534212799	0 2 48 50 90 92 132 134 180 182	780975896652
STPT(10)	2319877068742217399	0 2 18 20 30 32 42 44 60 62	929183901252
STPT(10)	2319877237226724359	0 2 30 32 60 62 90 92 120 122	1097668408212